# Printing graphs in tikz

Djones9976 djones9976 at aol.com
Wed Sep 2 19:12:05 CEST 2020

I need some help in plotting this series of equations along the x-axis of a 3D graph for values of y = 0, 1, 2, ....13 in tikz.   I have been trying for the last month but cannot make anything work.   Thank you very much in advance.  Sorry but I left the equations off the last email.
D. W. Jones
J_{\frac{1}{2}}(x)&=\sqrt{\frac{2}{\pi x}}\sin{x}\\J_{-\frac{1}{2}}(x)&=\sqrt{\frac{2}{\pi x}}\cos{x}\\J_{\frac{3}{2}}(x)&=\sqrt{\frac{2}{\pi x}}\left[\frac{\sin{x}}{x}-\cos{x}\right]\\J_{-\frac{3}{2}}(x)&=-\sqrt{\frac{2}{\pi x}}\left[\frac{\cos{x}}{x}+\sin{x}\right]\\J_{\frac{5}{2}}(x)&=-\sqrt{\frac{2}{\pi x}}\left[\frac{3-1}{x^2}\sin{x}-\frac{3}{x}\cos{x}\right]\\J_{-\frac{5}{2}}(x)&=\sqrt{\frac{2}{\pi x}}\left[\frac{3-1}{x^2}\cos{x}+\frac{3}{x}\sin{x}\right]\\J_{\frac{7}{2}}(x)&=\sqrt{\frac{2}{\pi x}}\left[\frac{15-6x^2}{x^3}\sin{x}-\frac{15-x^2}{x^2}\cos{x}\right]\\J_{-\frac{7}{2}}(x)&=-\sqrt{\frac{2}{\pi x}}\left[\frac{15-6x^2}{x^3}\cos{x}+\frac{15-x^2}{x^2}\sin{x}\right]\\J_{\frac{9}{2}}(x)&=\sqrt{\frac{2}{\pi x}}\left[\frac{105-45x^2+1}{x^4}\sin{x}-\frac{105-10x^2}{x^3}\cos{x}\right]\\J_{-\frac{9}{2}}(x)&=\sqrt{\frac{2}{\pi x}}\left[\frac{105-45x^4+x^4}{x^4}\cos{x}+\frac{105-10x^2}{x^3}\sin{x}\right]\\J_{\frac{11}{2}}(x)&=\sqrt{\frac{2}{\pi x}}\left[\frac{945-420x^2+15x^4}{x^5}\sin{x}-\frac{945-105x^2+x^4}{x^4}\cos{x}\right]\\J_{-\frac{11}{2}}(x)&=\sqrt{\frac{2}{\pi x}}\left[\frac{945-420x^2+15x^4}{x^5}\cos{x}+\frac{945-105x^2+x^4}{x^4}\sin{x}\right]\\J_{\frac{13}{2}}(x)&=\sqrt{\frac{2}{\pi x}}\left[\frac{9450-4305x^2+195x^4-x^6}{x^6}\sin{x} - \frac{9449x-1155x^3+20x^4}{x^6}\cos{x} \right] \\J_{-\frac{13}{2}}(x)&=\sqrt{\frac{2}{\pi x}}\left[\frac{9450-4305x^2+195x^4-x^6}{x^6}\cos{x} + \frac{9449x-1155x^3+20x^5}{x^6}\sin{x} \right]13
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